{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UHPFX6YLLP6NXJ7CJL3AXZZ2XU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c091520043548cd5b7c3b4040f80319cddc9acf2bb1f3f767fe2a34a89c7fe17","cross_cats_sorted":["stat.AP","stat.OT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-07-16T01:40:56Z","title_canon_sha256":"b51bb3ddcb0b07e7c3164c18736f4b27b3e15340ad8ccc6642189b44ac9a5196"},"schema_version":"1.0","source":{"id":"2507.11833","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.11833","created_at":"2026-07-05T11:42:55Z"},{"alias_kind":"arxiv_version","alias_value":"2507.11833v2","created_at":"2026-07-05T11:42:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.11833","created_at":"2026-07-05T11:42:55Z"},{"alias_kind":"pith_short_12","alias_value":"UHPFX6YLLP6N","created_at":"2026-07-05T11:42:55Z"},{"alias_kind":"pith_short_16","alias_value":"UHPFX6YLLP6NXJ7C","created_at":"2026-07-05T11:42:55Z"},{"alias_kind":"pith_short_8","alias_value":"UHPFX6YL","created_at":"2026-07-05T11:42:55Z"}],"graph_snapshots":[{"event_id":"sha256:a96cdef6ff8ce0e65f7bf74953e78e760b31d835b4111fd4214d543bc703e363","target":"graph","created_at":"2026-07-05T11:42:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.11833/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the Group-R2 decomposition prior, a hierarchical shrinkage prior that extends R2-based priors to structured regression settings with known groups of predictors. By decomposing the prior distribution of the coefficient of determination R2 in two stages, first across groups, then within groups, the prior enables interpretable control over model complexity and sparsity. We derive theoretical properties of the prior, including marginal distributions of coefficients, tail behavior, and connections to effective model complexity. Through simulation studies, we evaluate the conditions und","authors_text":"Aki Vehtari, David Kohns, Javier Enrique Aguilar, Paul-Christian B\\\"urkner","cross_cats":["stat.AP","stat.OT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-07-16T01:40:56Z","title":"R2 priors for Grouped Variance Decomposition in High-dimensional Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.11833","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:21bdd105bd12402ffe73d8db538201a656a8f007d8ac340c5e3e4c09388b1ef9","target":"record","created_at":"2026-07-05T11:42:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c091520043548cd5b7c3b4040f80319cddc9acf2bb1f3f767fe2a34a89c7fe17","cross_cats_sorted":["stat.AP","stat.OT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-07-16T01:40:56Z","title_canon_sha256":"b51bb3ddcb0b07e7c3164c18736f4b27b3e15340ad8ccc6642189b44ac9a5196"},"schema_version":"1.0","source":{"id":"2507.11833","kind":"arxiv","version":2}},"canonical_sha256":"a1de5bfb0b5bfcdba7e24af60be73abd0b9ed8ea547e25a3328c86e919424b77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1de5bfb0b5bfcdba7e24af60be73abd0b9ed8ea547e25a3328c86e919424b77","first_computed_at":"2026-07-05T11:42:55.217558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:42:55.217558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zXfypd1olLokN+/5DMZjbpTcpW5zpGdmzvwS3nYNRVXKaX7xr8UcmlwHaML2YHKpYkBCKDOEHmMMMktpFyjVCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:42:55.218034Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.11833","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21bdd105bd12402ffe73d8db538201a656a8f007d8ac340c5e3e4c09388b1ef9","sha256:a96cdef6ff8ce0e65f7bf74953e78e760b31d835b4111fd4214d543bc703e363"],"state_sha256":"87d0c3beeff3f6dab42d0421c678134c26964a155a4efc0c2ff7964c82fce72d"}